Ex 6.2,4 - Chapter 6 Class 12 Application of Derivatives

Last updated at April 16, 2024 by

Ex 6.2, 4 - Find intervals f(x) = 2x2 - 3x is (a) increasing

Ex 6.2,4 - Chapter 6 Class 12 Application of Derivatives - Part 2

Transcript

Ex 6.2, 4 Find the intervals in which the function f given by f (𝑥) = 2𝑥2 – 3𝑥 is (a) strictly increasing (b) strictly decreasing f (𝑥) = 2𝑥2 –3𝑥 Calculating f’(𝒙) 𝑓^′ (𝑥) = 4𝑥 – 3 Putting f’ (𝒙) = 0 4𝑥 – 3 = 0 4𝑥 = 3 𝑥 = 3/4 Plotting point on number line Hence, f is strictly increasing in (𝟑/𝟒 , ∞) f is strictly decreasing in (−∞ ,𝟑/𝟒)

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